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Finding the Fourth Proportional to 305,523.12, 458,175.31 and 105,789.87

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Solution

The fourth proportional to 305,523.12, 458,175.31 and 105,789.87 is: 158,646.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,523.12 : 458,175.31 = 105,789.87 : x
  2. Step 2: Convert to fraction form
    305,523.12/458,175.31 = 105,789.87/x
  3. Step 3: Cross multiply
    305,523.12x = 458,175.31 × 105,789.87
  4. Step 4: Simplify right side
    305,523.12x = 48,470,306,482.11
  5. Step 5: Solve for x
    x = 48,470,306,482.11/305,523.12
  6. Step 6: Final answer
    x = 158,646.93

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.